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Finding the Third Proportional to 4,315.22 and 9,244.69

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Solution

The third proportional to 4,315.22 and 9,244.69 is: 19,805.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,315.22 : 9,244.69 = 9,244.69 : x
  2. Step 2: Convert to fraction form
    4,315.22/9,244.69 = 9,244.69/x
  3. Step 3: Cross multiply
    4,315.22x = 9,244.69 × 9,244.69
  4. Step 4: Simplify right side
    4,315.22x = 85,464,246.97
  5. Step 5: Solve for x
    x = 85,464,246.97/4,315.22
  6. Step 6: Final answer
    x = 19,805.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.